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Designing an Electron Gun for an Electrostatic Accelerator Phillip Lloyd, Mark Yuly Houghton College Department of Physics What is an Electrostatic Accelerator? The Electrostatic Accelerator at Houghton College High Voltage Terminal Target Accelerating Column SimIon Modelling Software Laplace's Equation Gauss's Law ∇ ∙ E = ρ/ε0 ∇ ∙ E = -∇ ∙ ∇ V = -∇2 V Electrostatic System: Laplace's Equation ∇2 V = 0 ∇2 V = -∇ ∙ E = -dEx/dx – dEy/dy – dEz/dz One Dimension d2V/dx2 = 0 V = ax + b Approximation V = (V1 + V2 + V3 + V4)/4 V1 V2 V V4 V3 Designing an Electron Gun Electron Gun: Early Designs Control Grid Outer Shell Acceleration Grids -770 V Source -1000 V 0V 0V -1002 V Focusing Grid 0V Electron Gun: Later Designs Base -1015 V 0V -980 V 0V Source -1000 V Control Grid Focusing Grid -1000 V Acceleration Grids Outer Shell 0V Electron Gun: Current Design Control Grid Shield Acceleration Grids Base Source -500 V -460 V -380 V 0V -350 V Focusing Grid 0V Outer Shell 0V Simulations Actual Construction Deflection Plates Acceleration Grids Focusing Grid Control Grid Shield Source Testing the Gun Testing the Gun Conclusion Overview We need an electron gun for our electrostatic accelerator By building our own, we can easily repair and modify the gun as needed We can model and simulate gun designs in SimIon SimIon has its limits, and physical testing is necessary to finalize a design